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Finding the Third Proportional to 7,284.09 and 11,070.84

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Solution

The third proportional to 7,284.09 and 11,070.84 is: 16,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.09 : 11,070.84 = 11,070.84 : x
  2. Step 2: Convert to fraction form
    7,284.09/11,070.84 = 11,070.84/x
  3. Step 3: Cross multiply
    7,284.09x = 11,070.84 × 11,070.84
  4. Step 4: Simplify right side
    7,284.09x = 122,563,581.34
  5. Step 5: Solve for x
    x = 122,563,581.34/7,284.09
  6. Step 6: Final answer
    x = 16,826.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.